To find the rational number that is one tick mark to the left of negative three-fourths (-3/4) on the number line provided, we first recognize what each tick mark represents.
Given that the number line goes from negative 2 to positive 2 in increments of 1 with 4 equal spaces between each whole number, each tick mark represents 1/4.
Starting at -3/4, we need to move one tick mark to the left, which means we subtract 1/4 from -3/4:
\[ -3/4 - 1/4 = -4/4 = -1 \]
Therefore, the rational number that is one tick mark to the left of negative three-fourths is:
\[ \boxed{-1} \]